عنوان

Ordinary differential equations /

شابک

0262010372

شابک

0262510189

شابک

9780262010375

شابک

9780262510189

شماره

b736762

عنوان اصلي

Ordinary differential equations /

نام عام مواد

[Book]

نام نخستين پديدآور

V.I. Arnold ; translated and edited by Richard A. Silverman.

محل نشرو پخش و غیره

[Cambridge] :

نام ناشر، پخش کننده و غيره

[MIT Press],

تاریخ نشرو بخش و غیره

[1973]

نام خاص و کميت اثر

viii, 280 pages :

ساير جزييات

illustrations ;

ابعاد

23 cm

متن يادداشت

Translation of Obyknovennye different︠s︡ialʹnye uravnenii︠a︡.

متن يادداشت

Includes bibliographical references (page 273) and index.

متن يادداشت

Basic concepts -- Basic theorems -- Linear systems -- Proofs of the basic theorems -- Differential equations on manifolds.

بدون عنوان

0

متن يادداشت

Although there is no lack of other books on this subject, even with the same title, the appearance of this new one is fully justified on at least two grounds: its approach makes full use of modern mathematical concepts and terminology of considerable sophistication and abstraction, going well beyond the traditional presentation of the subject; and, at the same time, the resulting enhancement of mathematical abstractness is counterbalanced by a constant appeal to geometrical and physical considerations, presented in the main text and in numerous problems and exercises. In the terms of mathematical approach, the text is dominated by two central ideas: the theorem on rectifiability of a vector field (which is equivalent to the usual theorems on existence, uniqueness, and differentiability of solutions) and the theory of one-parameter groups of linear transformations (equivalent to the theory of linear autonomous systems). The book also develops whole congeries of fundamental concepts--like phase space and phase flows, smooth manifolds and tangent bundles, vector fields and one-parameter groups of diffeomorphisms--that remain in the shadows in the traditional coordinate-based approach. All of these concepts are presented in some detail, but without assuming any background on the part of the reader beyond the scope of the standard elementary courses on analysis and linear algebra.

دسترس پذيري

£8.25

عنوان قراردادي

Obyknovennye different︠s︡ialʹnye uravnenii︠a︡.

زبان(وقتي جزئي از عنوان قراردادي باشد)

English

موضوع مستند نشده

Differential equations.

موضوع مستند نشده

Équations différentielles

موضوع مستند نشده

31.44 ordinary differential equations.

موضوع مستند نشده

Differential equations.

موضوع مستند نشده

Differential equations.

موضوع مستند نشده

Equations différentielles.

موضوع مستند نشده

Gewöhnliche Differentialgleichung

موضوع مستند نشده

Gewone differentiaalvergelijkingen.

شماره

513.72

شماره

شماره رده

نشانه اثر

شماره رده

شماره رده

کد سيستم

کد سيستم

مستند نام اشخاص تاييد نشده

Arnolʹd, V. I., (Vladimir Igorevich),1937-2010.

تاريخ عمليات

20201203205125.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y